# Maths Quest Maths B Year 12 for Queensland 2E Solutions Manual

Author/s |
Simpson |
---|---|

ISBN13 | 9781742160382 |

Pub date | December 2009 |

Pages | 184 |

RRP | $49.95 |

** Maths Quest Maths B Year 12** for Queensland Second Edition is a new edition of this highly successful student text designed to meet the requirements of the revision of the Maths C syllabus for implementation from 2009. Maths Quest for Queensland Years 11 and 12 are now fully supported by Teacher Editions, eBookPLUS, eGuidePLUS and Solutions Manuals.

**Chapter 1 - Modelling change and rates of change.**

Exercise 1A - Using functions to model change.

Exercise 1B - Graphing polynomial functions.

Exercise 1C - Review of differentiation.

Exercise 1D - Rules for differentiation.

Chapter review.

Modelling and problem solving.

**Chapter 2 - Applications of differentiation.**

Exercise 2A - Sketching curves.

Exercise 2B - Equations of tangents and normals.

Exercise 2C - Maximum and minimum problems when the function is known.

Exercise 2D - Maximum and minimum problems when the function is unknown.

Investigation - Cross-country run.

Exercise 2E - Rates of change.

Chapter review.

Modelling and problem solving.

**Chapter 3 - Exponential and logarithmic functions.**

Exercise 3A - The index laws.

Exercise 3B - Logarithms and laws of logarithms.

Exercise 3C - Indicial equations.

Exercise 3D - Logarithmic equations using any base.

Exercise 3E - Exponential equations (base *e*).

Exercise 3F - Equations with natural (base *e*) logarithms.

Investigation - An earthquake formula.

Exercise 3G - Exponential and logarithmic modelling.

Chapter review.

Modelling and problem solving.

**Chapter 4 - Derivatives of exponential and logarithmic functions.**

Exercise 4A - Inverses.

Exercise 4B - The derivative of *ex.*

Exercise 4C - The derivative of log*e x.*

Exercise 4D - Derivatives of exponential and logarithmic functions.

Exercise 4E - Applications of derivatives of exponential functions.

Chapter review.

Modelling and problem solving.

**Chapter 5 - Periodic functions.**

Exercise 5A - Revision of radians and the unit circle.

Exercise 5B - Symmetry and exact values.

Exercise 5C - Further trigonometric equations.

Exercise 5D - Further trigonometric graphs.

Exercise 5E - Finding equations of trigonometric graphs.

Exercise 5F - Trigonometric modelling and problem solving.

Chapter review.

Modelling and problem solving.

**Chapter 6 - The calculus of periodic functions.**

Exercise 6A - The derivatives of sin *x* and cos *x.*

Exercise 6B - Further differentiation of trigonometric functions.

Exercise 6C - Applications of differentiation.

Exercise 6D - Kinematics.

Chapter review.

Modelling and problem solving.

**Chapter 7 - Introduction to integration.**

Exercise 7A - Approximating areas enclosed by functions.

Exercise 7B - Antidifferentiation (integration).

Exercise 7C - Integration of *ex*, sin *x* and cos *x.*

Exercise 7D - Integration by recognition.

Chapter review.

Modelling and problem solving.

**Chapter 8 - Techniques of integration.**

Exercise 8A - The fundamental theorem of integral calculus.

Exercise 8B - Signed areas.

Exercise 8C - Further areas.

Exercise 8D - Areas between two curves.

Exercise 8E - Further applications of integration - modelling and problem solving.

Investigation - Concrete chute.

Chapter review.

Modelling and problem solving.

**Chapter 9 - Probability distributions.**

Exercise 9A - Discrete random variables.

Exercise 9B - Expected value of discrete random distributions.

Exercise 9C - The binomial distribution.

Exercise 9D - Problems involving the binomial distribution for multiple probabilities.

Exercise 9E - Expected value, variance and standard deviation of the binomial distribution.

Investigation - The binomial theorem.

Chapter review.

Modelling and problem solving.

**Chapter 10 - The normal distribution.**

Exercise 10A - The standard normal distribution.

Exercise 10B - The inverse normal cumulative distribution.

Investigation - Sunflower stems.

Exercise 10C - The normal approximation to the binomial distribution.

Investigation - Supporting the proposal.

Exercise 10D - Hypothesis testing.

Chapter review.